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Finding the Third Proportional to 3,890.63 and 5,925.94

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Solution

The third proportional to 3,890.63 and 5,925.94 is: 9,025.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,890.63 : 5,925.94 = 5,925.94 : x
  2. Step 2: Convert to fraction form
    3,890.63/5,925.94 = 5,925.94/x
  3. Step 3: Cross multiply
    3,890.63x = 5,925.94 × 5,925.94
  4. Step 4: Simplify right side
    3,890.63x = 35,116,735.25
  5. Step 5: Solve for x
    x = 35,116,735.25/3,890.63
  6. Step 6: Final answer
    x = 9,025.99

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.